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Empirical rule

The lifespans of tigers in a particular zoo are normally distributed. The average tiger lives 22.422.4 years; the standard deviation is 2.72.7 years.
Use the empirical rule (68−95−99.7%)(68-95-99.7\%) to estimate the probability of a tiger living less than 14.314.3 years.
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
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